Q25. - Algebra 1

Question

TEST SCORES Brian answered 36 items correctly on a 40-item test. What percent did he answer correctly?

Step-by-Step Solution

Answer

The percentage of correct answers when Brian answered 36 items correct out of 40 items is 90%.

Step 1. Given information

Brian answered 36 answers correct out of 40-item test.

Step 2. Definition of percentage.

A percentage is a ratio that can be expressed as a fraction of 100. 

Step 3. Assumptions and apply the definition of percentage.

Let x percent of answers be correct.

According to the question, the number of correct answers divided by the total number of questions multiplied by 100 gives the desired result,

 $\frac{36\times 100}{40}=x$

Step 4. Calculations.

$$\begin{gathered} \frac{36\times 100}{40}=x \\ 9\times 10=x \\ 90=x \end{gathered}$$

Hence, the percentage of correct answers when Brian answered 36 items correct out of 40 items is 90%.